A geometric programming framework for univariate cubic \(L_1\) smoothing splines

DOI10.1007/s10479-004-5035-9zbMath1119.65012OpenAlexW2044420083MaRDI QIDQ1772976

Hao Cheng, John E. Lavery, Shu-Cherng Fang

Publication date: 22 April 2005

Published in: Annals of Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10479-004-5035-9

zbMATH Keywords

sensitivity analysisdata fittingsmoothing splinegeometric programmingshape preservation

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Nonlinear programming (90C30) Sensitivity, stability, parametric optimization (90C31) Spline approximation (41A15)

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Cites Work

• Univariate cubic \(L_1\) splines -- a geometric programming approach
• Special issue: Geometric programming
• Shape-preserving, multiscale fitting of univariate data by cubic \(L_1\) smoothing splines
• Univariate cubic \(L_{p}\) splines and shape-preserving, multiscale interpolation by univariate cubic \(L_{1}\) splines
• Geometric Programming
• The Duality between Suboptimization and Parameter Deletion
• Convex Analysis
• Symmetric Duality for Generalized Unconstrained Geometric Programming
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